Solution Manual
Elementary Statistics
By Mario F. Triola
14th edition
, Contents
Chapter 1: introduction to statistics
section 1-1: statistical and critical thinking ....................................................................... 1
section 1-2: types of data ................................................................................................... 3
section 1-3: collecting sample data ................................................................................... 3
Chapter quick quiz ............................................................................................................ 5
review exercises ................................................................................................................5
cumulative review exercises .............................................................................................. 6
chapter 2: exploring data with tables and graphs
section 2-1: frequency distributions for organizing and summarizing data ...................... 7
section 2-2: histograms.................................................................................................... 12
section 2-3: graphs that enlighten and graphs that deceive ............................................. 14
section 2-4: scatterplots, correlation, and regression....................................................... 17
Chapter quick quiz .......................................................................................................... 18
review exercises ..............................................................................................................19
cumulative review exercises ............................................................................................ 20
chapter 3: describing, exploring, and comparing data
section 3-1: measures of center .......................................................................................21
section 3-2: measures of variation ...................................................................................26
section 3-3: measures of relative standing and boxplots ................................................. 31
Chapter quick quiz .......................................................................................................... 34
review exercises ..............................................................................................................35
cumulative review exercises ............................................................................................ 36
chapter 4: probability
section 4-1: basic concepts of probability ....................................................................... 37
section 4-2: addition rule and multiplication rule ........................................................... 39
section 4-3: complements, conditional probability, and bayes’ theorem ........................ 41
section 4-4: counting .......................................................................................................43
Chapter quick quiz .......................................................................................................... 45
review exercises ..............................................................................................................46
cumulative review exercises ............................................................................................ 47
chapter 5: discrete probability distributions
section 5-1: probability distributions ...............................................................................49
section 5-2: binomial probability distributions................................................................ 51
section 5-3: poisson probability distributions ................................................................. 54
Chapter quick quiz .......................................................................................................... 55
review exercises ..............................................................................................................56
cumulative review exercises ............................................................................................ 57
chapter 6: normal probability distributions
section 6-1: the standard normal distribution ..................................................................59
, section 6-2: real applications of normal distributions .....................................................60
section 6-3: sampling distributions and estimators .........................................................64
section 6-4: the central limit theorem ..............................................................................68
section 6-5: assessing normality ......................................................................................71
section 6-6: normal as approximation to binomial ..........................................................75
Chapter quick quiz ..........................................................................................................77
review exercises ............................................................................................................. 78
cumulative review exercises ........................................................................................... 79
chapter 7: estimating parameters and determining sample sizes
section 7-1: estimating a population proportion. ............................................................ 81
section 7-2: estimating a population mean. .................................................................... 85
section 7-3: estimating a population standard deviation or variance ..............................89
section 7-4: bootstrapping: using technology for estimates ............................................92
Chapter quick quiz ..........................................................................................................94
review exercises ............................................................................................................. 95
cumulative review exercises ........................................................................................... 96
chapter 8: hypothesis testing
section 8-1: basics of hypothesis testing .........................................................................97
section 8-2: testing a claim about a proportion ...............................................................99
section 8-3: testing a claim about a mean .....................................................................105
Section 8-4: testing a claim about a standard deviation or variance ............................ 109
Chapter quick quiz ........................................................................................................112
review exercises ........................................................................................................... 112
cumulative review exercises ......................................................................................... 113
Chapter 9: chapter 9: inferences from two samples
section 9-1: two proportions ......................................................................................... 115
section 9-2: two means: independent samples ..............................................................124
section 9-3: two dependent samples (matched pairs) ................................................... 130
section 9-4: two variances or standard deviations .........................................................134
Chapter quick quiz ........................................................................................................136
review exercises ........................................................................................................... 137
cumulative review exercises ......................................................................................... 138
chapter 10: correlation and regression
section 10-1: correlation ................................................................................................141
section 10-2: regression .................................................................................................148
section 10-3: prediction intervals and variation ............................................................157
section 10-4: multiple regression. .................................................................................159
section 10-5: nonlinear regression.................................................................................161
Chapter quick quiz ........................................................................................................165
review exercises ........................................................................................................... 165
cumulative review exercises ......................................................................................... 166
chapter 11: goodness-of-fit and contingency tables
section 11-1: goodness-of-fit.........................................................................................169
, section 11-2: contingency tables ...................................................................................173
Chapter quick quiz ........................................................................................................177
review exercises ........................................................................................................... 178
cumulative review exercises ......................................................................................... 179
chapter 12: analysis of variance
section 12-1: one-way anova .........................................................................................181
section 12-2: two-way anova.........................................................................................183
Chapter quick quiz ........................................................................................................184
review exercises ........................................................................................................... 185
cumulative review exercises ......................................................................................... 186
chapter 13: nonparametric tests
Section 13-2: sign test ...................................................................................................189
Section 13-3: wilcoxon signed-ranks test for matched pairs.........................................190
Section 13-4: wilcoxon rank-sum test for two independent samples ............................192
Section 13-5: kruskal-wallis test for three or more samples .........................................195
Section 13-6: rank correlation .......................................................................................196
Section 13-7: runs test for randomness ........................................................................ 198
Chapter quick quiz ........................................................................................................199
review exercises ........................................................................................................... 200
cumulative review exercises ......................................................................................... 201
chapter 14: statistical process control
section 14-1: control charts for variation and mean ......................................................203
section 14-2: control charts for attributes ......................................................................205
Chapter quick quiz ........................................................................................................210
review exercises ........................................................................................................... 210
cumulative review exercises ......................................................................................... 212
Elementary Statistics
By Mario F. Triola
14th edition
, Contents
Chapter 1: introduction to statistics
section 1-1: statistical and critical thinking ....................................................................... 1
section 1-2: types of data ................................................................................................... 3
section 1-3: collecting sample data ................................................................................... 3
Chapter quick quiz ............................................................................................................ 5
review exercises ................................................................................................................5
cumulative review exercises .............................................................................................. 6
chapter 2: exploring data with tables and graphs
section 2-1: frequency distributions for organizing and summarizing data ...................... 7
section 2-2: histograms.................................................................................................... 12
section 2-3: graphs that enlighten and graphs that deceive ............................................. 14
section 2-4: scatterplots, correlation, and regression....................................................... 17
Chapter quick quiz .......................................................................................................... 18
review exercises ..............................................................................................................19
cumulative review exercises ............................................................................................ 20
chapter 3: describing, exploring, and comparing data
section 3-1: measures of center .......................................................................................21
section 3-2: measures of variation ...................................................................................26
section 3-3: measures of relative standing and boxplots ................................................. 31
Chapter quick quiz .......................................................................................................... 34
review exercises ..............................................................................................................35
cumulative review exercises ............................................................................................ 36
chapter 4: probability
section 4-1: basic concepts of probability ....................................................................... 37
section 4-2: addition rule and multiplication rule ........................................................... 39
section 4-3: complements, conditional probability, and bayes’ theorem ........................ 41
section 4-4: counting .......................................................................................................43
Chapter quick quiz .......................................................................................................... 45
review exercises ..............................................................................................................46
cumulative review exercises ............................................................................................ 47
chapter 5: discrete probability distributions
section 5-1: probability distributions ...............................................................................49
section 5-2: binomial probability distributions................................................................ 51
section 5-3: poisson probability distributions ................................................................. 54
Chapter quick quiz .......................................................................................................... 55
review exercises ..............................................................................................................56
cumulative review exercises ............................................................................................ 57
chapter 6: normal probability distributions
section 6-1: the standard normal distribution ..................................................................59
, section 6-2: real applications of normal distributions .....................................................60
section 6-3: sampling distributions and estimators .........................................................64
section 6-4: the central limit theorem ..............................................................................68
section 6-5: assessing normality ......................................................................................71
section 6-6: normal as approximation to binomial ..........................................................75
Chapter quick quiz ..........................................................................................................77
review exercises ............................................................................................................. 78
cumulative review exercises ........................................................................................... 79
chapter 7: estimating parameters and determining sample sizes
section 7-1: estimating a population proportion. ............................................................ 81
section 7-2: estimating a population mean. .................................................................... 85
section 7-3: estimating a population standard deviation or variance ..............................89
section 7-4: bootstrapping: using technology for estimates ............................................92
Chapter quick quiz ..........................................................................................................94
review exercises ............................................................................................................. 95
cumulative review exercises ........................................................................................... 96
chapter 8: hypothesis testing
section 8-1: basics of hypothesis testing .........................................................................97
section 8-2: testing a claim about a proportion ...............................................................99
section 8-3: testing a claim about a mean .....................................................................105
Section 8-4: testing a claim about a standard deviation or variance ............................ 109
Chapter quick quiz ........................................................................................................112
review exercises ........................................................................................................... 112
cumulative review exercises ......................................................................................... 113
Chapter 9: chapter 9: inferences from two samples
section 9-1: two proportions ......................................................................................... 115
section 9-2: two means: independent samples ..............................................................124
section 9-3: two dependent samples (matched pairs) ................................................... 130
section 9-4: two variances or standard deviations .........................................................134
Chapter quick quiz ........................................................................................................136
review exercises ........................................................................................................... 137
cumulative review exercises ......................................................................................... 138
chapter 10: correlation and regression
section 10-1: correlation ................................................................................................141
section 10-2: regression .................................................................................................148
section 10-3: prediction intervals and variation ............................................................157
section 10-4: multiple regression. .................................................................................159
section 10-5: nonlinear regression.................................................................................161
Chapter quick quiz ........................................................................................................165
review exercises ........................................................................................................... 165
cumulative review exercises ......................................................................................... 166
chapter 11: goodness-of-fit and contingency tables
section 11-1: goodness-of-fit.........................................................................................169
, section 11-2: contingency tables ...................................................................................173
Chapter quick quiz ........................................................................................................177
review exercises ........................................................................................................... 178
cumulative review exercises ......................................................................................... 179
chapter 12: analysis of variance
section 12-1: one-way anova .........................................................................................181
section 12-2: two-way anova.........................................................................................183
Chapter quick quiz ........................................................................................................184
review exercises ........................................................................................................... 185
cumulative review exercises ......................................................................................... 186
chapter 13: nonparametric tests
Section 13-2: sign test ...................................................................................................189
Section 13-3: wilcoxon signed-ranks test for matched pairs.........................................190
Section 13-4: wilcoxon rank-sum test for two independent samples ............................192
Section 13-5: kruskal-wallis test for three or more samples .........................................195
Section 13-6: rank correlation .......................................................................................196
Section 13-7: runs test for randomness ........................................................................ 198
Chapter quick quiz ........................................................................................................199
review exercises ........................................................................................................... 200
cumulative review exercises ......................................................................................... 201
chapter 14: statistical process control
section 14-1: control charts for variation and mean ......................................................203
section 14-2: control charts for attributes ......................................................................205
Chapter quick quiz ........................................................................................................210
review exercises ........................................................................................................... 210
cumulative review exercises ......................................................................................... 212